Determine, Without Graphing, Whether the Given Quadratic Function Has a Maximum

Multiple Choice

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
- $$f ( x ) = 4 x ^ { 2 } + 12 x$$

A) minimum; $- \frac { 3 } { 2 }$
B) minimum; $- 9$
C) maximum; $- \frac { 3 } { 2 }$
D) maximum; $- 9$